Question

Express as a rational number 5.4 bar

Answer 1

Answer:

Step-by-step explanation:

5. \bar45.

4

ˉ

Let \: \frac{p}{q} = 5.444... - - - (i)Let

q

p

=5.444...−−−(i)

On multiplying 10 on both the sides -

10 \frac{p}{q} = 54.4444... - - - (ii)10

q

p

=54.4444...−−−(ii)

Subtracting Equation (i) from Equation (ii) -

\scriptsize10 \frac{p}{q} - \frac{p}{q} = (54.444...) - (5.444...)10

q

p

−

q

p

=(54.444...)−(5.444...)

9 \frac{p}{q} = 499

q

p

=49

\frac{p}{q} = \frac{49}{9}

q

p

=

9

49

I hope it is helpful